The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 4ft long with a diameter of 1.6 ft. Suppose gas is poured into the tank at a rate of 1.7ft3 per minute. How many minutes does it take to fill the empty tank?

Use the value 3.14 for , and round your answer to the nearest minute. Do not round any intermediate computations.

Respuesta :

Answer:

5 minutes

Step-by-step explanation:

[tex]from \: the \: above \: quetion \: we \: are \: expected \: to \: find \: time \\ time = \frac{ volume}{rate} \\ calculating \: volume \\ volume = area \: \times lenght \\ area \: of \: the \: tank = \pi \: r {}^{2} \\ area \: ofthe \: tank = 3.14 \times \frac{1.6}{2} \\ area \: of \: the \: tank = 3.14 \times 0.8 {2}^{2} = 2.0096 {}^{} \\ volume = 2.0096 \times 4 = 8.0384cm {}^{3} \\ time = \frac{8.0384}{1.7} \\ time = 4.728470588\\ time = 5 \: mins \: ( to \: nearest \: minutes) [/tex]